Download Practice 3-2 - SHAMOKINMATH

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Class
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Practice 3-2
Solving Systems Algebraically
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Solve each system by elimination.
1. e
x 1 y 5 10
x2y5 2
2. e
2x 1 3y 5 21
x 2 2y 5 2
3. e
x1 y5 7
x 1 3y 5 11
4. e
4x 2 3y 5 22
4x 1 5y 5 14
5. e
x 1 2y 5 10
3x 2 y 5 9
6. e
2x 2 5y 5 11
4x 1 10y 5 18
7. e
x2y50
x1y52
8. e
x 1 3y 5 24
y1x50
9. e
3x 2 y 5 17
y 1 2x 5 8
10. Suppose your drama club is planning a production that will cost
$525 for the set and $150 per performance. A sold-out performance
will bring in $325. Write an equation for the cost C and an equation for
the income I for p sold-out performances. Find how many sold-out
performances will make the cost equal to the income.
Solve each system by substitution. Check your answers.
11. e
y5x11
2x 1 y 5 7
12. e
x5y22
3x 2 y 5 6
13. e
y 5 2x 1 3
5x 2 y 5 23
14. e
6x 2 3y 5 233
2x 1 y 5 21
15. e
2x 2 y 5 7
3x 2 2y 5 10
16. e
4x 5 8y
2x 1 5y 5 27
17. e
x 1 3y 5 24
y1x50
18. e
3x 1 2y 5 9
x1 y53
19. e
2y 2 3x 5 4
x 5 24
20. Suppose you bought eight oranges and one grapefruit for a total of
$4.60. Later that day, you bought six oranges and three grapefruits for
a total of $4.80. Now you want to find the price of each orange and of
each grapefruit. Write an equation for each purchase. Solve the system
of equations.
Solve each system.
21. e
y5x13
5x 1 y 5 9
22. e
5x 1 4y 5 2
25x 2 2y 5 4
23. e
y 5 2x 1 3
5x 2 y 5 23
24. e
14x 1 2y 5 10
x 2 5y 5 11
25. e
x 1 5y 5 1
2x 5 2 2 10y
26. e
0.3x 1 0.4y 5 0.8
0.7x 2 0.8y 5 26.8
27. e
4x 1 3y 5 26
5x 2 6y 5 227
28. e
2y 5 24x
4x 1 2y 5 211
29. e
1.2x 1 1.4y 5 2.7
0.4x 2 0.3y 5 0.9
Algebra 2 Chapter 3
Lesson 3-2 Practice
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